1266167404656 has 480 divisors, whose sum is σ = 4685009711616. Its totient is φ = 309049344000.

The previous prime is 1266167404633. The next prime is 1266167404669. The reversal of 1266167404656 is 6564047616621.

1266167404656 is a `hidden beast` number, since 1 + 26 + 6 + 167 + 404 + 6 + 56 = 666.

It is a super-2 number, since 2×1266167404656² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130245876 + ... + 130255596.

Almost surely, 2^{1266167404656} is an apocalyptic number.

1266167404656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1266167404656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342504855808).

1266167404656 is an abundant number, since it is smaller than the sum of its proper divisors (3418842306960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1266167404656 is a wasteful number, since it uses less digits than its factorization.

1266167404656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10461 (or 10452 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 1266167404656 in words is "one trillion, two hundred sixty-six billion, one hundred sixty-seven million, four hundred four thousand, six hundred fifty-six".